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Finding the Fourth Proportional to 105,969.96, 158,954.54 and 27,084.06

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Solution

The fourth proportional to 105,969.96, 158,954.54 and 27,084.06 is: 40,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.96 : 158,954.54 = 27,084.06 : x
  2. Step 2: Convert to fraction form
    105,969.96/158,954.54 = 27,084.06/x
  3. Step 3: Cross multiply
    105,969.96x = 158,954.54 × 27,084.06
  4. Step 4: Simplify right side
    105,969.96x = 4,305,134,163.21
  5. Step 5: Solve for x
    x = 4,305,134,163.21/105,969.96
  6. Step 6: Final answer
    x = 40,625.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.